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- W1986258150 abstract "Abstract Let V be a vector space of dimension n over a field k of characteristic p . Let G ⊆ Gl(V) be a finite group with p -Sylow subgroup P. G and P act on the symmetric algebra R of V . Denote the respective rings of invariants by R G and R p . We show that if R p is Cohen-Macaulay (CM) so also is R G , generalizing a result of M. Hochster and J. A. Eagon. If P is normal in G and G is generated by P and pseudo-reflections, we show that if R G is CM so also is R p . However, in general, R G may even be polynomial with Rp not CM. Finally, we give a procedure for determining a set of generators for R G given a set of generators for R p ." @default.
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- W1986258150 date "1991-03-01" @default.
- W1986258150 modified "2023-09-27" @default.
- W1986258150 title "Rings of Invariants and p-Sylow Subgroups" @default.
- W1986258150 doi "https://doi.org/10.4153/cmb-1991-007-0" @default.
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